## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 12, Number 4 (2008), 781-815.

### Deformations and D-branes

#### Abstract

I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory associated to a D-branes at a singularity with generalized deformations of the geometry of the resolution of the singularity. An explicit map is given from noncommutative deformations (i.e., B-fields) to terms in the superpotential.

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 12, Number 4 (2008), 781-815.

**Dates**

First available in Project Euclid: 14 July 2008

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1216046744

**Mathematical Reviews number (MathSciNet)**

MR2420903

**Zentralblatt MATH identifier**

1145.81046

#### Citation

Bergman, Aaron. Deformations and D-branes. Adv. Theor. Math. Phys. 12 (2008), no. 4, 781--815. https://projecteuclid.org/euclid.atmp/1216046744